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---
category_name: school
problem_code: VILTRIBE
problem_name: 'Villages and Tribes'
languages_supported:
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max_timelimit: '2'
source_sizelimit: '50000'
problem_author: admin2
problem_tester: null
date_added: 30-10-2017
tags:
    - admin2
    - cakewalk
    - nov17
editorial_url: 'https://discuss.codechef.com/problems/VILTRIBE'
time:
    view_start_date: 1510579800
    submit_start_date: 1510579800
    visible_start_date: 1510579800
    end_date: 1735669800
    current: 1514815986
layout: problem
---
All submissions for this problem are available.### Read problems statements in [Mandarin chinese](http://www.codechef.com/download/translated/NOV17/mandarin/VILTRIBE.pdf), [Russian](http://www.codechef.com/download/translated/NOV17/russian/VILTRIBE.pdf) and [Vietnamese](http://www.codechef.com/download/translated/NOV17/vietnamese/VILTRIBE.pdf) as well.

There are **n** villages in a line in an area. There are two kinds of tribes A and B that reside there. A village can be either empty or occupied by one of the tribes. An empty village is said to be controlled by a tribe of village A if it is surrounded by villages of tribes A from the left and from the right. Same goes for the tribe B.

Find out the number of villages that are either occupied by or controlled by tribes A and B, respectively.

### Input

The first line of the input contains an integer **T** denoting the number of test cases.

The first line of the input contains a string **s** denoting the configuration of the villages, each character of which can be 'A', 'B' or '.'.

### Output

For each test case, output two space-separated integers denoting the number of villages either occupied by or controlled by tribe A and B, respectively.

### Constraints

- **1 ≤ T ≤ 20**
- **1 ≤ |s| ≤ 105**

### Subtasks

- **Subtask #1** (40 points): **1 ≤ |s| ≤ 103**
- **Subtask #2** (60 points): Original constraints

### Example

<pre>
<b>Input</b>
4
A..A..B...B
..A..
A....A
..B..B..B..

<b>Output</b>
4 5
1 0
6 0
0 7
</pre>